The last bc the + and - are different that means it will be subtracted.
Answer:

Step-by-step explanation:
Given


Required
The explicit formula
First, calculate 
Set n=2; So:


Substitute -25 for 


Calculate the common difference (d)



So, the nth term is:


Open bracket

Collect like terms


Answer:
f = -10
( -3, -4) ( - 4 , -10)
Step-by-step explanation:
Formula for slope
m =( y_2 - y_1)/(x _2 - x _1)
m = 6
6 = (y_2 - y_1) / (x _2 - x_1)
Substitute the points
( -3 , -4) ( -4 , f)
x_1 = -3
y_1 = -4
x_2 = -4
y_2 = f
Insert the values into
6 = (y_2 - y_1) / (x_2 - x_1)
6 = (f - (-4))/ ( -4 - (-3)
6 = ( f + 4)/ ( -4 + 3)
Cross multiply
6 ( -4 + 3) = f + 4
6 ( -1) = f + 4
-6 = f + 4
-6 - 4 = f
f = -6 - 4
f = -10
( -3 , -4) ( -3 , f)
The value of f is -10
( -3 , -4) ( -3 , -10)
The equation "y=mx+b" is the slope-intercept forme of a line with slope "m" and y-interceptept (0,b)
In this case:
y=2x+5;
the slope "m" will be equato to : "2".
Answer: the slope is 2.
Answer:
3.9 units
Step-by-step explanation:
We are given that,
Time taken by each swing = 2.2 seconds
The pendulum formula is given by,
, where T is the time taken and L is the length of the swing.
So, we have,

i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. L = 3.923 units
So, rounded to tenths, the length of the swing is 3.9 units.